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The paper presents a novel fuzzy clustering algorithm that operates on relational input data in the form of a pairwise similarity matrix between objects. The algorithm uses a graph representation and models cluster membership likelihoods based on graph centrality within an Expectation-Maximization framework. Experimental results show the algorithm can identify overlapping clusters of semantically related sentences, demonstrating potential usefulness for text mining tasks. It was also applied successfully to benchmark datasets in other domains.